Spectral Method for Semilinear Parabolic Integrodifferential Equations

Liu Xiao-qing; Wu Sheng-chang

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 1995 > 16(2): 173-179

Liu Xiao-qing, Wu Sheng-chang. Spectral Method for Semilinear Parabolic Integrodifferential Equations[J]. Applied Mathematics and Mechanics, 1995, 16(2): 173-179.

Citation:

Liu Xiao-qing, Wu Sheng-chang. Spectral Method for Semilinear Parabolic Integrodifferential Equations[J]. Applied Mathematics and Mechanics, 1995, 16(2): 173-179.

Citation:

Liu Xiao-qing, Wu Sheng-chang. Spectral Method for Semilinear Parabolic Integrodifferential Equations[J]. Applied Mathematics and Mechanics, 1995, 16(2): 173-179.

PDF( 353 KB)

Spectral Method for Semilinear Parabolic Integrodifferential Equations

Institute of Applied Mathematics, Academia Sinica, Beijing

Received Date: 1994-02-07
Publish Date: 1995-02-15

Abstract

Abstract

Based on the discussion of the semi discretization of a parabolic equation with a semilinear memory term,an error estimate is derived for the fully discrete scheme with spectral method in space and the backward Euler method in time The trapezoidal rule is adopted.for the quadrature of the memory term and the quadrature error isestimated.
- parabolic integro differential equation,
- spectral method,
- back-ward Euler method,

FullText(HTML)

References(5)

References

[1]	Yanik.E.G.and G.Fairweather,Finite element method for parabolic and hyperbolic partial integro-differential equations,Nonlinear Anal.,12(1988),785-80.
[2]	Canuto.C.et al.Spectral Method in Fluid Drnamics.Springer-Verlag(1987).
[3]	Sloan.I.H.and V.Thomee.Time discretization of an integro-differential equation of parabolic type.SIAM J.Numer.Anal.23(1986),1052-1061.
[4]	Le Roux.M-N.and V.Thomee.Numerical solution of semilinear integro-differential equations of parabolic type with nonsmooth data,SIAM J.Numer..Anal.,26(1989).1219-1309.
[5]	Gottlieb.D.Numerical analysis of spectral method,CBMS-NSF,Regional Conference Series in Applied Meth.26(1977).